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Finding the Third Proportional to 693,847,340 and 1,514,840,640

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Solution

The third proportional to 693,847,340 and 1,514,840,640 is: 3,307,272,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,847,340 : 1,514,840,640 = 1,514,840,640 : x
  2. Step 2: Convert to fraction form
    693,847,340/1,514,840,640 = 1,514,840,640/x
  3. Step 3: Cross multiply
    693,847,340x = 1,514,840,640 × 1,514,840,640
  4. Step 4: Simplify right side
    693,847,340x = 2,294,742,164,595,609,600
  5. Step 5: Solve for x
    x = 2,294,742,164,595,609,600/693,847,340
  6. Step 6: Final answer
    x = 3,307,272,410.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.